Entanglement Rényi entropies in celestial holography

Abstract

Celestial holography is the conjecture that scattering amplitudes in $(d+2)$-dimensional asymptotically Minkowski spacetimes are dual to correlators of a $d$-dimensional conformal field theory (CFT) on the celestial sphere, called the celestial CFT (CCFT). In a CFT, we can calculate sub-region entanglement Rényi entropies (EREs), including entanglement entropy (EE), from correlators of twist operators, via the replica trick. We argue that CCFT twist operators are holographically dual to cosmic branes in the $(d+2)$-dimensional spacetime, and that their correlators are holographically dual to the $(d+2)$-dimensional partition function (the vacuum-to-vacuum scattering amplitude) in the presence of these cosmic branes. We hence compute the EREs of a spherical sub-region of the CCFT's conformal vacuum, finding the form dictated by conformal symmetry, including a universal contribution determined by the CCFT's sphere partition function (odd $d$) or Weyl anomaly (even $d$). We find that this universal contribution vanishes when $d=4$ mod $4$, and otherwise is proportional to $i$ times the $d^{\text{th}}$ power of the $(d+2)$-dimensional long-distance cutoff in Planck units.

44+17 pages, 7 figures, version published in SciPost Physics

References in corpus (55)

• Towards a derivation of holographic entanglement entropy
• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Asymptotic symmetries and subleading soft graviton theorem
• Gravitational action with null boundaries
• Entanglement Entropy at Large Central Charge
• Evidence for a New Soft Graviton Theorem
• New symmetries for the Gravitational S-matrix
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Entanglement entropy in Galilean conformal field theories and flat holography
• The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
• Entanglement Entropy of Non Unitary Conformal Field Theory
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Twist operators in higher dimensions
• Top-down holography in an asymptotically flat spacetime
• Pseudo Entropy in Free Quantum Field Theories
• Superrotations and Black Hole Pair Creation
• Aspects of Pseudo Entropy in Field Theories
• Lectures on Celestial Holography
• Celestial Amplitudes as AdS-Witten Diagrams
• Celestial holography on Kerr-Schild backgrounds
• The Celestial Chiral Algebra of Self-Dual Gravity on Eguchi-Hanson Space
• Celestial Liouville Theory for Yang-Mills Amplitudes
• Extensions of the asymptotic symmetry algebra of general relativity
• From Celestial Correlators to AdS, and back
• Deforming Soft Algebras for Gauge Theory
• Wedge Holography in Flat Space and Celestial Holography
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Symmetries of the gravitational scattering in the absence of peeling
• Renormalization of conformal infinity as a stretched horizon
• Shadow Celestial Amplitude
• Symmetries in Celestial CFT${}_d$
• Logarithmic Celestial Conformal Field Theory
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• A Modified Cosmic Brane Proposal for Holographic Renyi Entropy
• A Matrix Model for Flat Space Quantum Gravity
• A Solvable Model of Flat Space Holography
• Higher spin dynamics in gravity and $w_{1+\infty }$ celestial symmetries
• Celestial Quantum Error Correction II: From Qudits to Celestial CFT
• Logarithmic soft graviton theorems from superrotation Ward identities
• Scalar-Graviton Amplitudes and Celestial Holography
• Celestial holography: An asymptotic symmetry perspective
• Asymptotic Symmetries for Logarithmic Soft Theorems in Gauge Theory and Gravity
• Towards celestial chiral algebras of self-dual black holes
• Celestial two-point functions and rectified dictionary
• Hyperbolic Vacua in Minkowski Space
• Celestial Holography Revisited II: Correlators and Källén-Lehmann
• Equating Extrapolate Dictionaries for Massless Scattering
• Burns space and holography
• Celestial CFT from $H_3^{+}$-WZW Model
• Infrared structures of scattering on self-dual radiative backgrounds
• S-Matrix Path Integral Approach to Symmetries and Soft Theorems
• Phase Space Renormalization and Finite BMS Charges in Six Dimensions
• The S-matrix and boundary correlators in flat space
• Gravitational Rényi entropy from corner terms

Cited by in corpus (1)

• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy